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Finding the Fourth Proportional to 8,566, 12,854.40 and 3,372.16

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Solution

The fourth proportional to 8,566, 12,854.40 and 3,372.16 is: 5,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566 : 12,854.40 = 3,372.16 : x
  2. Step 2: Convert to fraction form
    8,566/12,854.40 = 3,372.16/x
  3. Step 3: Cross multiply
    8,566x = 12,854.40 × 3,372.16
  4. Step 4: Simplify right side
    8,566x = 43,347,093.50
  5. Step 5: Solve for x
    x = 43,347,093.50/8,566
  6. Step 6: Final answer
    x = 5,060.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.